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Finding the Fourth Proportional to 103,564.58, 155,324.39 and 37,009.31

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Solution

The fourth proportional to 103,564.58, 155,324.39 and 37,009.31 is: 55,505.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,564.58 : 155,324.39 = 37,009.31 : x
  2. Step 2: Convert to fraction form
    103,564.58/155,324.39 = 37,009.31/x
  3. Step 3: Cross multiply
    103,564.58x = 155,324.39 × 37,009.31
  4. Step 4: Simplify right side
    103,564.58x = 5,748,447,538.40
  5. Step 5: Solve for x
    x = 5,748,447,538.40/103,564.58
  6. Step 6: Final answer
    x = 55,505.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.